The cost to take care of a child is the same in any situation. If it's a net loss it's because there are no fathers providing for them. And why would the example I saw of 50 women having 87 children out of wedlock with 6 men even exist.
Your point is that welfare encourages women to have children in order to get money from the government. The cost of raising a child far exceeds the value of the benefits a woman will receive for that child, so only very stupid women would take that approach.
In reality, very few women do that.
I have no idea what "50 women having 87 children with 6 men" even means. You're citing an unknown talk show, firstly.
Secondly, that show is looking at a snapshot of a small sample size of people.
Also, have you considered the possibility that the women thought these men wouldn't ditch them? Why is your first thought "Oh well they must have had nefarious intent to get money from the government."
We could provide birth control free to everyone, which would greatly reduce the number of single mothers/fathers. But a lot of people seem to have a problem with that, so I don't know.
As a side note: Unmarried doesn't mean single. I'm not married to my girlfriend, but we operate as if we are. Marriage is becoming less common in general these days, which isn't inherently a bad thing.
Whether a couple are good parents has nothing to do with their marital status.